Question

What is the y-intercept for the linear function y-4=2(x-6)​

Answer 1

-8

Explanation:

Method 1:

The slope-intercept of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

We have the equation of a line in the point-slope form:

`y-4=2(x-6)`

Convert it the the slope-intercept formula:

`y-4=2(x-6)` use the distributive property

`y-4=2x-12` add 4 to both sides

`y=2x-8\to b=-8`

Method 2:

The y-intercept is for x = 0. Put x = 0 to the equation:

`y-4=2(0-6)`

`y-4=2(-6)`

`y-4=-12` add 4 to both sides

`y=-8`